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Remote information concentration and multipartite entanglement in multilevel systems

机译:远程信息集中与多方纠缠   多级系统

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摘要

Remote information concentration (RIC) in $d$-level systems (qudits) isstudied. It is shown that the quantum information initially distributed inthree spatially separated qudits can be remotely and deterministicallyconcentrated to a single qudit via an entangled channel without performing anyglobal operations. The entangled channel can be different types of genuinemultipartite pure entangled states which are inequivalent under localoperations and classical communication. The entangled channel can also be amixed entangled state, even a bound entangled state which has a similar form tothe Smolin state, but has different features from the Smolin state. A commonfeature of all these pure and mixed entangled states is found, i.e., they have$d^2$ common commuting stabilizers. The differences of qudit-RIC and qubit-RIC($d=2$) are also analyzed.
机译:研究了$ d $级系统(qudits)中的远程信息集中(RIC)。结果表明,最初分布在三个空间上分开的量子中的量子信息可以通过纠缠通道远程地和确定性地集中到一个单一的量子中,而无需执行任何全局操作。纠缠通道可以是不同类型的真正多部分纯纠缠态,它们在局部操作和经典通信下是不等价的。纠缠通道也可以是混合纠缠态,甚至是束缚纠缠态,其具有与Smolin态相似的形式,但是具有与Smolin态不同的特征。发现所有这些纯的和混合的纠缠态的共同特征,即它们具有d ^ 2 $常见的通勤稳定剂。还分析了qudit-RIC和qubit-RIC($ d = 2 $)的差异。

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